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Finding the Fourth Proportional to 3,798.59, 5,692.03 and 1,947.11

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Solution

The fourth proportional to 3,798.59, 5,692.03 and 1,947.11 is: 2,917.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.59 : 5,692.03 = 1,947.11 : x
  2. Step 2: Convert to fraction form
    3,798.59/5,692.03 = 1,947.11/x
  3. Step 3: Cross multiply
    3,798.59x = 5,692.03 × 1,947.11
  4. Step 4: Simplify right side
    3,798.59x = 11,082,975.21
  5. Step 5: Solve for x
    x = 11,082,975.21/3,798.59
  6. Step 6: Final answer
    x = 2,917.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.